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Finding the Fourth Proportional to 368,053.75, 507,932.18 and 206,959.33

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Solution

The fourth proportional to 368,053.75, 507,932.18 and 206,959.33 is: 285,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,053.75 : 507,932.18 = 206,959.33 : x
  2. Step 2: Convert to fraction form
    368,053.75/507,932.18 = 206,959.33/x
  3. Step 3: Cross multiply
    368,053.75x = 507,932.18 × 206,959.33
  4. Step 4: Simplify right side
    368,053.75x = 105,121,301,635.98
  5. Step 5: Solve for x
    x = 105,121,301,635.98/368,053.75
  6. Step 6: Final answer
    x = 285,614.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.